For a fixed \(L = {M}/T\) , as \({M},T \rightarrow \infty \) , the node-perspective and edge-perspective RE degree distributions, which are binomial, become Poisson distributed [1]}:
\(\psi _c = \frac{ \left( \bar{c} \right)^{c} \exp \left( -\bar{c} \right)}{ c!} \text{ and }\xi _c = \frac{ \left( \bar{c} \right)^{c-1} \exp \left( -\bar{c} \right)}{\left( c - 1 \right)!}. \) 
